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Finding the Fourth Proportional to 230,847.40, 346,271.10 and 213,740.20

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Solution

The fourth proportional to 230,847.40, 346,271.10 and 213,740.20 is: 320,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,847.40 : 346,271.10 = 213,740.20 : x
  2. Step 2: Convert to fraction form
    230,847.40/346,271.10 = 213,740.20/x
  3. Step 3: Cross multiply
    230,847.40x = 346,271.10 × 213,740.20
  4. Step 4: Simplify right side
    230,847.40x = 74,012,054,168.22
  5. Step 5: Solve for x
    x = 74,012,054,168.22/230,847.40
  6. Step 6: Final answer
    x = 320,610.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.